#### Question :

Find the largest number, which divides 70 and 125, leaving remainders 5 and 8 respectivelySubmitted on 3/3/2024 | Answered by Vandana Rana#### Answer :

Firstly, we subtract the remainder 5 and 8, respectively, from corresponding numbers and then get the HCF of the resulting numbers .After removing these remainders from the numbers, we have:(70 − 5) = 65

(125 − 8) = 117

Now, the required number

117=13×3×3

65=13×5

∴ HCF = 13.

Thus, 13 is the largest number which is divisible by 70 and 125 leaving remainder 5 and 8.